Fiber dimension for invariant subspaces

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109209

Title:	Fiber dimension for invariant subspaces
Authors:	方向;Chen, Li;Cheng, Guozheng;Fang, Xiang
Contributors:	理學院數學系
Keywords:	Analytic operator;Fiber dimension;Invariant subspace;Samuel multiplicity
Date:	2015-01-01
Issue Date:	2026-04-23 16:15:45 (UTC+8)
Publisher:	Academic Press Inc.;Elsevier Inc
Abstract:	摘要： In this paper we study the fiber dimension of invariant subspaces for a large class of operators. We define a class of invariant subspaces called CF subspaces which are related to the codimension-one property. We obtain several characterizations of CF subspaces, including one in terms of Samuel multiplicity. Other new findings include: (1) a lattice-additive formula and its applications (Section 4); (2) a new concept of “absorbance” which describes a rough containment relation for invariant subspaces (Section 5); (3) the existence of a unique, smallest CF subspace containing an arbitrary invariant subspace and preserving the fiber dimension (Section 6). 出版者： Elsevier Inc 出版日期： 2015-05-01 出處： Journal of functional analysis, 2015-05, Vol.268 (9), p.2621-2646 資源來源： ScienceDirect (Elsevier) Journals 版權： 2015 Elsevier Inc. 識別號： ISSN: 0022-1236 識別號： EISSN: 1096-0783 識別號： DOI: 10.1016/j.jfa.2015.01.017
Appears in Collections:	[Department of Mathematics] journal & Dissertation

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	20	View/Open

社群 sharing